The measurements of the diameters (in inches) of 12 randomly chosen golf balls are listed. At a = 0.05, is there enough evidence to reject the claim that the standard deviation of the measurements of these diameters is 0.004? Assume the population is normally distributed. 1.677 1.681 1.682 1.681 1.678 1.678 1.677 1.678 1.678 E Click the icon to view the Chi-Square Distribution Ta 0 Critical Values of Chi-Squared 1.678 1.683 1.682 (a) Write the claim mathematically and identify H, and H O A. Ho: o>0.004; H: os0.004 (Claim) O B. Ho: o = 0.004 (Claim); H: o#0.004 ta OC. Ho: o20.004; H: o<0.004 (Claim) O D. Hn: os0.004 (Claim); H,: o>0.004 Right tail Two tails Degrees of freedom (b) Find the critical value(s). 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 6.635 9.210 10.597 1 0.001 0.004 0.016 2.706 3.841 5.024 7.879 (Round to three decimal places as needed. Use a comma 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 Identify the rejection region(s). Choose the correct graph 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 1.064 1.610 2.204 0.207 9.488 13.277 12.833 4. 0.297 0.484 0.711 7.779 11.143 14.860 5 9.236 0.412 0.676 0.554 0.872 0.831 1.145 11.071 15.086 16.750 O A. 6 1.237 1.635 10.645 12.592 14.449 16.812 18.548 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1.646 2.088 2.180 2.700 8 1.344 2.733 3.490 13.362 15.507 17.535 20.090 21.955 9 1.735 3.325 4.168 14.684 16.919 19.023 21.666 23.589 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188 2.603 5.578 17.275 21.920 24.725 26.757 26.217 28.299 11 3.053 3.816 4.575 19.675 3.074 3.565 4.075 12 3.571 4.404 5.226 6.304 18.549 21.026 23.337 13 4.107 5.009 5.892 7.042 19.812 22.362 24.736 27.688 29.819 (c) Find the standardized test statistic for the x-test. . 14 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319 30.578 32.801 34.267 15 4.601 5.229 6.262 7.261 8.547 22.307 24.996 27.488 5.142 23.542 26.296 28.845 32.000 24.769 16 5.812 6.908 7.962 9.312 (Round to three decimal places as needed.) 8.672 9.390 10.117 10.851 17 5.697 6.408 7.564 10.085 27.587 30.191 33.409 35.718 (d) Decide whether to reject or fail to reject the null hypot 18 6.265 7.015 8.231 10.865 25.989 28.869 31.526 34.805 37.156 6.844 7.434 27.204 28.412 7.633 8.907 9.591 11.651 12.443 32.852 34.170 19 30.144 36.191 38.582 20 8.260 31.410 37.566 39.997 O A. Fail to reject Ho. The standardized test statistic is 21 8.034 8.897 10.283 11.591 13.240 29.615 14.042 30.813 32.671 35.479 38.932 41.401 B. Fail to reject Ho. The standardized test statistic is C. Reject Hn. The standardized test statistic is in the 22 8.643 9.542 10.982 12.338 33.924 36.781 40.289 42.796 23 9.260 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181 24 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 45.559
The measurements of the diameters (in inches) of 12 randomly chosen golf balls are listed. At a = 0.05, is there enough evidence to reject the claim that the standard deviation of the measurements of these diameters is 0.004? Assume the population is normally distributed. 1.677 1.681 1.682 1.681 1.678 1.678 1.677 1.678 1.678 E Click the icon to view the Chi-Square Distribution Ta 0 Critical Values of Chi-Squared 1.678 1.683 1.682 (a) Write the claim mathematically and identify H, and H O A. Ho: o>0.004; H: os0.004 (Claim) O B. Ho: o = 0.004 (Claim); H: o#0.004 ta OC. Ho: o20.004; H: o<0.004 (Claim) O D. Hn: os0.004 (Claim); H,: o>0.004 Right tail Two tails Degrees of freedom (b) Find the critical value(s). 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 6.635 9.210 10.597 1 0.001 0.004 0.016 2.706 3.841 5.024 7.879 (Round to three decimal places as needed. Use a comma 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 Identify the rejection region(s). Choose the correct graph 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 1.064 1.610 2.204 0.207 9.488 13.277 12.833 4. 0.297 0.484 0.711 7.779 11.143 14.860 5 9.236 0.412 0.676 0.554 0.872 0.831 1.145 11.071 15.086 16.750 O A. 6 1.237 1.635 10.645 12.592 14.449 16.812 18.548 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 1.646 2.088 2.180 2.700 8 1.344 2.733 3.490 13.362 15.507 17.535 20.090 21.955 9 1.735 3.325 4.168 14.684 16.919 19.023 21.666 23.589 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188 2.603 5.578 17.275 21.920 24.725 26.757 26.217 28.299 11 3.053 3.816 4.575 19.675 3.074 3.565 4.075 12 3.571 4.404 5.226 6.304 18.549 21.026 23.337 13 4.107 5.009 5.892 7.042 19.812 22.362 24.736 27.688 29.819 (c) Find the standardized test statistic for the x-test. . 14 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319 30.578 32.801 34.267 15 4.601 5.229 6.262 7.261 8.547 22.307 24.996 27.488 5.142 23.542 26.296 28.845 32.000 24.769 16 5.812 6.908 7.962 9.312 (Round to three decimal places as needed.) 8.672 9.390 10.117 10.851 17 5.697 6.408 7.564 10.085 27.587 30.191 33.409 35.718 (d) Decide whether to reject or fail to reject the null hypot 18 6.265 7.015 8.231 10.865 25.989 28.869 31.526 34.805 37.156 6.844 7.434 27.204 28.412 7.633 8.907 9.591 11.651 12.443 32.852 34.170 19 30.144 36.191 38.582 20 8.260 31.410 37.566 39.997 O A. Fail to reject Ho. The standardized test statistic is 21 8.034 8.897 10.283 11.591 13.240 29.615 14.042 30.813 32.671 35.479 38.932 41.401 B. Fail to reject Ho. The standardized test statistic is C. Reject Hn. The standardized test statistic is in the 22 8.643 9.542 10.982 12.338 33.924 36.781 40.289 42.796 23 9.260 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181 24 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 45.559
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:The measurements of the diameters (in inches) of 12 randomly chosen golf balls are listed. At a = 0.05, is there enough evidence to reject the claim that the standard deviation of the measurements of these diameters is
1.677
1.681
1.678
0.004? Assume the population is normally distributed.
1.681
1.678
1.677
1.682
1.678
1.678
Click the icon to view the Chi-Square Distribution Ta
Critical Values of Chi-Squared
1.678
1.683
1.682
(a) Write the claim mathematically and identify Ho and H
A. Ho: o> 0.004; Hạ: o50.004 (Claim)
B. Ho: o = 0.004 (Claim); H: o# 0.004
O C. Ho: o20.004; Ha: o< 0.004 (Claim)
x²
D. Ho: os0.004 (Claim); H: o> 0.004
Right tail
Two tails
Degrees of
freedom
(b) Find the critical value(s).
0.995
0.99
0.975
0.95
0.90
0.10
0.05
0.025
0.01
0.005
xổ =0
(Round to three decimal places as needed. Use a comm
1
0.001
0.004
0.016
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
4.605
5.991
7.378
9.210 10.597
3
0.072
0.115
0.216
0.352
0.584
6.251
7.815
9.348 11.345 12.838
Identify the rejection region(s). Choose the correct graph
4
0.207
0.297
0.484
0.711
1.064
7.779
9.488
11.143
13.277 14.860
5
0.412
0.554
0.831
1.145
1.610
9.236
11.071
12.833
15.086 16.750
A.
6.
0.676
0.872
1.237
1.635
2.204
10.645
12.592
14.449
16.812 18.548
7
0.989
1.239
1.690
2.167
2.833
12.017
14.067
16.013
18.475 20.278
8
1.344
1.646
2.180
2.733
3.490
13.362
15.507
17.535
20.090 21.955
1.735
2.088
2.700
3.325
4.168
14.684
16.919 19.023 21.666 23.589
10
2.156
2.558
3.247
3.940
4.865
15.987
18.307
20.483 23.209 25.188
,2 Z
11
2.603
3.053
3.816
4.575
5.578 17.275
19.675
21.920 24.725 26.757
12
3.074
3.571
4.404
5.226
6.304 18.549 21.026 23.337 26.217 28.299
13
3.565
4.107
5.009
5.892
7.042
19.812 22.362
24.736
27.688 29.819
(c) Find the standardized test statistic for the x-test.
14
4.075
4.660
5.629
6.571
7.790
21.064
23.685
26.119
29.141
31.319
15
4.601
5.229
6.262
7.261
8.547 22.307
24.996
27.488 30.578 32.801
16
5.142
5.812
6.908
7.962
9.312 23.542 26.296
28.845
32.000 34.267
(Round to three decimal places as needed.)
17
5.697
6.408
7.564
8.672 10.085 24.769 27.587
30.191 33.409 35.718
18
6.265
7.015
8.231
9.390 10.865
25.989
28.869
31.526
34.805 37.156
(d) Decide whether to reject or fail to reject the null hypot
19
6.844
7.633
8.907 10.117 11.651 27.204 30.144
32.852 36.191 38.582
20
7.434
8.260
9.591
10.851
12.443
28.412
31.410
34.170
37.566
39.997
A. Fail to reject Ho. The standardized test statistic is
21
8.034
8.897
10.283
11.591
13.240
29.615
32.671
35.479
38.932
41.401
B. Fail to reject Ho. The standardized test statistic is
22
8.643
9.542
10.982
12.338
14.042
30.813
33.924
36.781
40.289 42.796
23
9.260
10.196
11.689
13.091
14.848 32.007
35.172
38.076
41.638
44.181
OC. Reject Ho. The standardized test statistic is in the
24
9.886
10.856
12.401
13.848
15.659
33.196
36.415
39.364
42.980
45.559
25
10520
11.524
13 120.
14611
16473
34 382
27652
40646.
A4314
16028
Click to select your answer(s).
Transcribed Image Text:(c) Find the standardized test statistic for the y-test.
=
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O A. Fail to reject Ho. The standardized test statistic is not in the rejection region.
B. Fail to reject Ho. The standardized test statistic is in the rejection region.
C. Reject Ho: The standardized test statistic is in the rejection region.
O D. Reject Ho. The standardized test statistic is not in the rejection region.
(e) Interpret the decision in the context of the original claim.
Is there enough evidence to reject the claim at the 5% level of significance?
A. No, since the null hypothesis is not rejected, there is not enough evidence to reject the claim.
B. Yes, since the null hypothesis is not rejected, there is not enough evidence to reject the claim.
C. Yes, since the null hypothesis is rejected, there is enough evidence to reject the claim.
D. No, since the null hypothesis is rejected, there is enough evidence to reject the claim.
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